Solve correctly all parts Do all parts Otherwise let it be numerical analysisuse newtons method to find the minimumvalue of the function:experiment with initial guess to findminimumf(x) = x† + x,x2 + (1 + x2)'(a) give the value of x1, x2 where the minimum occurs(b) give the minimum function value, f(x1, x2)(c) give the value of the tolerance level you use(d) give the number of iterations to convergence

Answered: Image /qna-images/answer/22756077-ff68-4543-ac9e-c6a70d3f235e.jpg

Answered: numerical analysis use newtons method…

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter4: Polynomial And Rational Functions

Section4.6: Variation

Problem 31E

See similar textbooks

Similar questions

Minimum Find the minimum value of x2+20/(x+1) on the horizontal span of 0 to 10.
Maximum Sales Growth This is a continuation of Exercise 10. In this exercise, we determine how the sales level that gives the maximum growth rate is related to the limit on sales. Assume, as above, that the constant of proportionality is 0.3, but now suppose that sales grow to a level of 4 thousand dollars in the limit. a. Write an equation that shows the proportionality relation for G. b. On the basis of the equation from part a, make a graph of G as a function of s. c. At what sales level is the growth rate as large as possible? d. Replace the limit of 4 thousand dollars with another number, and find at what sales level the growth rate is as large as possible. What is the relationship between the limit and the sales level that gives the largest growth rate? Does this relationship change if the proportionality constant is changed? e. Use your answers in part d to explain how to determine the limit if we are given sales data showing the sales up to a point where the growth rate begins to decrease.
Show how you found the relative extreme values using Calculus based methodsa. Show how you found the critical point(s).b. Clearly identify how you determined whether a critical point was a relative maximum,relative minimum, or neither by giving evidencec. Make sure to show the check values you used to test whether the function is increasing ordecreasing over each of the indicated subintervals.
Separation of Variable Method Try and obtain the particular solution satisfying the initial condition indicated.
Show how you found the relative extreme values using Calculus based methods.a. Show how you found the critical point(s).b. Clearly identify how you determined whether a critical point was a relative maximum,relative minimum, or neither b providing evidencec. Make sure to show the check values you used to test whether the function is increasing ordecreasing over each of the indicated subintervals.
numerical integration use the trapezoidal rule and simpsons rule. round off to three significant digits
Application of derivative Optimization We are going to fence in a rectangular field that encloses 200 m2. If the cost of the material for of one pair of parallel sides is $3/m and cost of the material for the other pair of parallel sides is $8/m determine the dimensions of the field that will minimize the cost to build the fence around the field.
Breaking strength of the concrete is to be at least 1000 psi. • What if we are comparing the breaking strength of two formulas obtained from two vendors with different cost associated with them. • Vendor 1: = 1062.5 psi More Cost • Vendor 2: = 1055.0 psi Less Cost • You will select the vendor 1 and pay more only if the breaking strength of the concrete exceeds that of vendor 2 by at least 50 psi. set up hypothesis Please tapy answer
y = arctan(x^2) Determine the critical values: Determine the intervals on which the graph is decreasing: Determine the values of x for which the curve has a relative minimum: Determine any inflection points:
Show how you found the relative extreme values using Calculus based methods.a. Show how you found the critical point(s).b. Clearly identify how you determined whether a critical point was a relative maximum,relative minimum, or neither by providing evidence
Application of derivative Optimization We are going to fence in a rectangular field. Starting at the bottom of the field and moving around the field in a counter clockwise manner the cost of material for each side is $6/ft, $9/ft, $12/ft and $14/ft respectively. If we have $1000 to buy fencing material determine the dimensions of the field that will maximize the enclosed.
Minimum distance Find the point P on the line y = 3x that isclosest to the point (50, 0). What is the least distance between P and (50, 0)?

SEE MORE QUESTIONS

Recommended textbooks for you

Algebra & Trigonometry with Analytic Geometry

Algebra

ISBN:

9781133382119

Author:

Swokowski

Publisher:

Cengage

Functions and Change: A Modeling Approach to Coll…

Algebra

ISBN:

9781337111348

Author:

Bruce Crauder, Benny Evans, Alan Noell

Publisher:

Cengage Learning

Algebra & Trigonometry with Analytic Geometry

Algebra

ISBN:

9781133382119

Author:

Swokowski

Publisher:

Cengage

Functions and Change: A Modeling Approach to Coll…

Algebra

ISBN:

9781337111348

Author:

Bruce Crauder, Benny Evans, Alan Noell

Publisher:

Cengage Learning

SEE MORE TEXTBOOKS